Atkin-Lehner |
2- 3+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83490bv |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
338383393794293760 = 224 · 32 · 5 · 117 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-193905,-17308785] |
[a1,a2,a3,a4,a6] |
j |
455129268177961/191008604160 |
j-invariant |
L |
2.8340917473838 |
L(r)(E,1)/r! |
Ω |
0.23617431574836 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7590g1 |
Quadratic twists by: -11 |